6783168 has 112 divisors (see below), whose sum is σ = 21132800. Its totient is φ = 1919232.

The previous prime is 6783151. The next prime is 6783169. The reversal of 6783168 is 8613876.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×6783168² = 92022736232448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (6783169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65805 + ... + 65907.

Almost surely, 2^6783168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6783168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10566400).

6783168 is an abundant number, since it is smaller than the sum of its proper divisors (14349632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6783168 is a wasteful number, since it uses less digits than its factorization.

6783168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 6783168 is about 2604.4515737483. The cubic root of 6783168 is about 189.2972004490.

The spelling of 6783168 in words is "six million, seven hundred eighty-three thousand, one hundred sixty-eight".